Question

step 3 for part b, state how to find the relative frequencies for the whole table below. now use the framework to calculate the numbers.

Explanation:

Step1: Recall relative - frequency formula

The relative frequency of a data - point is calculated as $\frac{\text{Frequency of the data - point}}{\text{Total frequency}}$. Here, the total frequency is the grand total of the table, which is 101.

Step2: Calculate relative frequencies for each cell

For the cell of homeowners who are cat owners: $\frac{16}{101}\approx0.158$.
For the cell of renters who are cat owners: $\frac{19}{101}\approx0.188$.
For the cell of homeowners who are dog owners: $\frac{44}{101}\approx0.436$.
For the cell of renters who are dog owners: $\frac{22}{101}\approx0.218$.
For the cell of total cat owners: $\frac{35}{101}\approx0.347$.
For the cell of total dog owners: $\frac{66}{101}\approx0.653$.
For the cell of total homeowners: $\frac{60}{101}\approx0.594$.
For the cell of total renters: $\frac{41}{101}\approx0.406$.
For the grand - total cell: $\frac{101}{101} = 1$.

Answer:

	Homeowners	Renters	Total
Dog Owners	$\frac{44}{101}\approx0.436$	$\frac{22}{101}\approx0.218$	$\frac{66}{101}\approx0.653$
Total	$\frac{60}{101}\approx0.594$	$\frac{41}{101}\approx0.406$	1